Details

Time bar (total: 7.6s)

sample22.0ms

Algorithm
intervals
Results
7.0ms344×body80valid

simplify39.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2377
3677
4797
done797

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize6.0ms

Local error

Found 1 expressions with local error:

12.3b
(/ (* a1 a2) (* b1 b2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
1×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
14.0ms
(/ (* a1 a2) (* b1 b2))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ (* a1 a2) (* b1 b2))

simplify575.0ms

Counts
26 → 26
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
055285
1154277
2836207
done5000207

prune48.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

11.2b
(* (/ a1 b1) (/ a2 b2))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×times-frac
15×add-cube-cbrt *-un-lft-identity
13×add-exp-log associate-*r* associate-*l* add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
3×pow1
2×div-inv
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 52
Calls
1 calls:
26.0ms
(* (/ a1 b1) (/ a2 b2))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (/ a1 b1) (/ a2 b2))

simplify2.4s

Counts
55 → 55
Iterations

Useful iterations: 2 (148.0ms)

IterNodesCost
0112581
1309559
21074487
34549487
done5000487

prune109.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

3.9b
(* a1 (/ a2 b2))
7.1b
(/ (* a1 (/ a2 b2)) b1)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 prod-exp cbrt-unprod
3×associate-*l* associate-/r*
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l/ associate-/l*
Counts
2 → 60
Calls
2 calls:
14.0ms
(* a1 (/ a2 b2))
13.0ms
(/ (* a1 (/ a2 b2)) b1)

series52.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(* a1 (/ a2 b2))
32.0ms
(/ (* a1 (/ a2 b2)) b1)

simplify2.1s

Counts
66 → 66
Iterations

Useful iterations: 2 (104.0ms)

IterNodesCost
0110588
1265561
2879475
34290475
done5000475

prune118.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

6.3b
(/ (* a1 a2) b1)
7.4b
(/ (/ (* a1 a2) b1) b2)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
10.0ms
(/ (* a1 a2) b1)
17.0ms
(/ (/ (* a1 a2) b1) b2)

series52.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (* a1 a2) b1)
31.0ms
(/ (/ (* a1 a2) b1) b2)

simplify938.0ms

Counts
79 → 79
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
0127843
1299808
2945720
done5000720

prune135.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes242.0ms

Accuracy

48% (5.7b remaining)

Error of 5.7b against oracle of 0.0b and baseline of 10.9b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03363
14061
done4061

end0.0ms

sample564.0ms

Algorithm
intervals
Results
224.0ms10023×body80valid